Weak and strong forms of α-irresolute maps

Caldas, Miguel; Jafari, Saeid; Noiri, Takashi; Saraf, Richa

doi:10.1016/j.chaos.2004.09.013

Cited by 7 publications

(2 citation statements)

References 6 publications

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“…In this section, we define the subsets and subspaces of β 1 I-paracompact and study some of their properties. A subset A of a space (X, τ ) is said to be βg-closed [6] if βcl(A) ⊆ U whenever A ⊂ U and U is any β-open set in (X, τ ).…”

Section: β 1 I-paracompact Subsetsmentioning

confidence: 99%

Beta1-paracompactness with respect to an Ideal

Cahis

2019

Eur. J. Pure Appl. Math.

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The notion of 1-paracompactness in topological spaces is introduced and studied in [1]. In this paper, we introduce and investigate the notion of \beta_1-paracompact spaces with respect to an ideal I which is a generalization of the notion of \beta_1-paracompact spaces. We study characterizations, subsets and subspaces of 1I-paracompact spaces. Also, we investigate the invariants of \beta_I-paracompact spaces by functions.

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Section: β 1 I-paracompact Subsetsmentioning

confidence: 99%

Beta1-paracompactness with respect to an Ideal

Cahis

2019

Eur. J. Pure Appl. Math.

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“…Dontchev and Noiri [4] introduced and studied contra-semi-continuous functions in topological spaces. Caldas [5] defined Contrapre-semi-closed functions and investigated their properties. S.Pasunkili Pandian [6] defined semi*-pre-continuous and semi*-pre-irresolute functions and their contra versions and investigated their properties.…”

Section: Introductionmentioning

confidence: 99%

Semi-Star-Alpha-Open Sets and Associated Functions

Robert¹,

Missier²

2014

IJCA

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ABSTRACT:The aim of this paper is to introduce various functions associated with semi*α-open sets. Here semi*α-continuous, semi*α-irresolute, contra-semi*α-continuous and contra-semi*α-irresolute functions are defined. Characterizations for these functions are given. Further their fundamental properties are investigated. Many other functions associated with semi*α-open sets and their contra versions are introduced and their properties are studied. In addition strongly semi*α-irresolute functions, contra-strongly semi*α-irresolute functions, semi*α-totally continuous, totally semi*α-continuous functions and semi*α-homeomorphisms are introduced and their properties are investigated.

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